A Second Course in Analysis - Couverture souple

Murty, M. Ram

 
9789386279842: A Second Course in Analysis
Couverture souple
ISBN 10 : 9386279843 ISBN 13 : 9789386279842
Editeur : Jainendra K Jain, 2021

Synopsis

This book represents material suitable for a two semester graduate course in analysis. Based on courses given by the author since 2007, it is targeted towards graduate students preparing for a research career in mathematics. After reviewing what a typical student would have learned in single variable and multivariable calculus courses, the first chapter presents familiar material from a mature mathematical perspective. The second chapter surveys measure theory and highlights the essential theorems that have now become ubiquitous in mathematics. The third chapter on Fourier transforms derives the inversion theorem and gives diverse applications ranging from probability theory to mathematical physics. The fourth chapter reviews complex analysis giving a synthetic, rigorous development of the calculus of residues and its applications to a wide array of problems. The final chapter is an introduction to algebraic topology and is included to show the symbiosis between algebra and analysis.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Jainendra K Jain
Date d'édition
2021
Langue
anglais
ISBN 10 
9386279843
ISBN 13 
9789386279842
Reliure
Broché
Nombre de pages
350
Coordonnées du fabricant
non disponible
Personne responsable
non disponible